Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
344 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 93 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #14582923 | C2 | semidirect |
| 3. #14582642 | C2 | semidirect |
| 4. C43×#431 | C2 | semidirect |
| 14. C4⋊(C43⋊C8) | C22 | semidirect |
| 16. C4⋊C8×C43 | C22 | semidirect |
| 86. #431 | D43 | semidirect |
| 89. C43 | #1545 | semidirect |
| 101. C4⋊C8 | C2×D43 | semidirect |